Beyond Scaling: Measuring and Predicting the Upper Bound of Knowledge Retention in Language Model Pre-Training

Fuente: arXiv
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Autori principali: Jiang, Changhao, Zhang, Ming, Cao, Yifei, Ye, Junjie, Fan, Xiaoran, Dou, Shihan, Xi, Zhiheng, Sun, Jiajun, Dong, Yi, Shen, Yujiong, Tong, Jingqi, Fan, Baoyu, Gui, Tao, Zhang, Qi, Huang, Xuanjing
Natura: Preprint
Pubblicazione: 2025
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author Jiang, Changhao
Zhang, Ming
Cao, Yifei
Ye, Junjie
Fan, Xiaoran
Dou, Shihan
Xi, Zhiheng
Sun, Jiajun
Dong, Yi
Shen, Yujiong
Tong, Jingqi
Fan, Baoyu
Gui, Tao
Zhang, Qi
Huang, Xuanjing
author_facet Jiang, Changhao
Zhang, Ming
Cao, Yifei
Ye, Junjie
Fan, Xiaoran
Dou, Shihan
Xi, Zhiheng
Sun, Jiajun
Dong, Yi
Shen, Yujiong
Tong, Jingqi
Fan, Baoyu
Gui, Tao
Zhang, Qi
Huang, Xuanjing
contents The GPT-4 technical report suggests that downstream performance can be predicted from pre-training signals, but offers little methodological detail on how to quantify this. This work address this gap by modeling knowledge retention, the capacity of a pre-trained language model to memorize factual information from its corpus, and introduce a principled method to estimate it prior to training. We propose Size-dependent Mutual Information (SMI), an information-theoretic predictor that integrates knowledge frequency, knowledge specificity, and model size to forecast closed-book question answering (QA) accuracy. SMI is validated through large-scale document retrieval over the disclosed pre-training corpora of 21 public and 3 custom models, combined with a robust multi-template QA evaluation. Experiments show that SMI significantly outperforms repetition-based baselines and achieves $R^2$ > 0.7 in predicting QA accuracy for models above 1B parameters, without additional training. The analysis further reveals diminishing returns from scaling data and model size and provides evidence for an intrinsic upper bound on knowledge retention achievable by pre-training alone, motivating retrieval and other augmentation strategies. The dataset and code are available at https://github.com/yuhui1038/SMI.
format Preprint
id arxiv_https___arxiv_org_abs_2502_04066
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Beyond Scaling: Measuring and Predicting the Upper Bound of Knowledge Retention in Language Model Pre-Training
Jiang, Changhao
Zhang, Ming
Cao, Yifei
Ye, Junjie
Fan, Xiaoran
Dou, Shihan
Xi, Zhiheng
Sun, Jiajun
Dong, Yi
Shen, Yujiong
Tong, Jingqi
Fan, Baoyu
Gui, Tao
Zhang, Qi
Huang, Xuanjing
Computation and Language
Artificial Intelligence
The GPT-4 technical report suggests that downstream performance can be predicted from pre-training signals, but offers little methodological detail on how to quantify this. This work address this gap by modeling knowledge retention, the capacity of a pre-trained language model to memorize factual information from its corpus, and introduce a principled method to estimate it prior to training. We propose Size-dependent Mutual Information (SMI), an information-theoretic predictor that integrates knowledge frequency, knowledge specificity, and model size to forecast closed-book question answering (QA) accuracy. SMI is validated through large-scale document retrieval over the disclosed pre-training corpora of 21 public and 3 custom models, combined with a robust multi-template QA evaluation. Experiments show that SMI significantly outperforms repetition-based baselines and achieves $R^2$ > 0.7 in predicting QA accuracy for models above 1B parameters, without additional training. The analysis further reveals diminishing returns from scaling data and model size and provides evidence for an intrinsic upper bound on knowledge retention achievable by pre-training alone, motivating retrieval and other augmentation strategies. The dataset and code are available at https://github.com/yuhui1038/SMI.
title Beyond Scaling: Measuring and Predicting the Upper Bound of Knowledge Retention in Language Model Pre-Training
topic Computation and Language
Artificial Intelligence
url https://arxiv.org/abs/2502.04066